Tohoku Mathematical Journal
2006
June
SECOND SERIES VOL. 58, NO. 2

Tohoku Math. J.
58 (2006), 149-159

Title SOME REMARKS ON WEAK COMPACTNESS IN THE DUAL SPACE OF A JB$^*$-TRIPLE

Author Antonio M. Peralta

(Received March 30, 2004, revised January 18, 2005)
Abstract. We obtain several characterizations of relatively weakly compact subsets in the predual of a JBW*-triple. As a consequence, we describe the relatively weakly compact subsets in the predual of a JBW*-algebra.

2000 Mathematics Subject Classification. Primary 17C65; Secondary 46L70, 46L05, 47B99.
Key words and phrases. JB*-triples, JB*-álgebras, weak compactness.

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